CAT 2016 Quantitative Ability

Question : 4 of 34

Marks: +1, -0

A contractor agreed to finish a piece of work in 150 days. He employed 75 men and made them work for 8 hours per day. However, after 90 days, he realized that only

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th of the work was completed. How many more men would he need to employ to complete the work on time if he intended to make everybody work for 10 hours per day henceforth?

Your Answer:

Validate

Solution:

\;\;{m×d×h}/{w}

= constant, where
m = number of men
d = number of days
h = number of hours
w = amount of work
Let the number of additional men required be x.

\;\;{75×90×8}/{2}

=\;\;{(75+x)×60×10}/{5}

or X = 150
Hence, 150 additional men would be required

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